Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
10th Edition
ISBN: 9780134673301
Author: Waits, Foley, Kennedy, Bock Demana
Publisher: PEARSON
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Expert Solution & Answer
Chapter P.2, Problem 2E
Solution
Estimate the coordinates of the points given in graph.
Given information:
The given graph is:
Formula used:
- In a graph both the axes are marked with bars with equal length.
- The y coordinate of point on x -axis is 0.
- The x coordinate of point on y -axis is 0.
- The right side of x axis from the center is of positive points, and left is of negative.
- The above side of y axis from the center is of positive points, and downward side is of negative.
Calculation:
To estimate the coordinates of points, A, B, C and D note that both the axes( x and y ) in graph are divided equally with bars.
Since the first bar in x axis is marked 1, i.e. second should be 2, third is 3, and so on, similarly for y axis first is marked 1, i.e. second is 2, third is 3, and so on.
Since, point A is on y -axis, i.e. the x coordinate of point A is 0 and it is on third bar above the center along y-axis(i.e. positive), i.e. it’s y coordinate is 3. Thus, the coordinate of point A is (0,3).
Similarly, for point B note that:
This point is along 3 bar to the left hand side from center on x- axis, i.e. negative coordinate and 1 bars to the upper side from the center on y- axis, and since each bar is of 1 unit i.e. it’s coordinate is
Now C is on x -axis thus it’s y coordinate of point on y -axis is 0, and it is 2 bars left hand side from the center on x- axis, i.e. x -coordinate is negative.
Thus, coordinate of C is:
Similarly, for point D note that
Note that it is corresponding to the 4 bars to the right hand side of the x -axis from the center i.e. positive and 1 bars down from the center on y- axis, i.e. negative and since each bar is of 1 unit i.e. it’s coordinate is:
Thus, coordinates of given points are:
Chapter P Solutions
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
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Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning